The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units
How to determine the value of c?Considering the triangle WYZ, we make use of the following Pythagoras theorem
c² = 4² + 3²
Evaluate the exponents
c² = 16 + 9
Evaluate the sum
c² = 25
Take the positive square root of both sides
c = 5
This means that the value of c is 5 units
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what is the surface area of cylinder with base radius 4 and height 7? either enter an exact answer in term of pi or use for 3.14 for pi and enter your answer as a decimal
Answer:
Step-by-step explanation:
The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.
Here this comes out to A = 2π(4)(7) = 56 π units^2
If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:
A = 2πr² = 2π(4 units)² = 32π units²
Answer:
its 88 pi
Step-by-step explanation:
i did it on khan
At Barlow school, 4/9 of the 873 students are boys.
At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?
Answer:
Barlow School has the greater number of boys by 178.
Answer:
Barlow school by 178
Step-by-step explanation:
→ First let's work out the number of boys at Barlow school
[tex]\frac{4}{9}[/tex] of [tex]873[/tex] [tex]=[/tex] [tex](873/9)*4[/tex] [tex]=[/tex] [tex]388[/tex]
→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that [tex]\frac{2}{3}[/tex] of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] of [tex]630[/tex] [tex]=[/tex] [tex](630/3)*1[/tex] [tex]=[/tex] 210
→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178
Help please: (n^4)^-3(n^4)^-1
Answer:
1/n^16
Step-by-step explanation:
Please answer correctly !!!! Will mark brianliest !!!!!!!!!!!
Answer:
6
Step-by-step explanation:
[tex]f(6)=-6 \\\\g(5)=-5\\\\4\cdot f(6)-6\cdot g(5)=\\\\-24+30=\\\\6[/tex]
Hope this helps!
Please help me with my question!!
Answer:
10
Step-by-step explanation:
Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4
2 1/2 = 5/2
(5/2)/(1/4) = 20/2 = 10
Can someone help me ?
Answer:
-2
-1
Step-by-step explanation:
The y-intercept is the point on the y-axis intersected by the graph.
y-intercept is -2
The x-intercept is the point on the x-axis intersected by the graph.
x-intercept is -1
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -1
(-1,0)
The y intercept is where it crosses the y axis
It crosses at y = -2
(0,-2)
Which graph represents y=3 square rootx +2 ?
[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.
Step-by-step explanation:
[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]
r² (q + bx) = ax - p
qr² + bxr² = ax - p
qr² + p = ax - bxr²
qr² + p = x (a - br²)
[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]
Answer:
[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
Step-by-step explanation:
[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]
[tex]\mathrm{Square\:both\:sides}[/tex]
[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]
[tex]R^2=\frac{ax-P}{Q+bx}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]
[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]
[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]
[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]
[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]
[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]
[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]
[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]
[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]
[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]
[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]
[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]
Use the equation e^x+e^-x/e^x-e^-x=t tosolve for x
Answer:
Solve the rational equation by combining expressions and isolating the variable
x = ln ( t − √ t ^2 + 4 )/2x = ln ( t +√ t ^2 + 4 )/2Answer:
Step-by-step explanation:
I assume that the equation is
[tex]e^x+\frac{e^{-x}}{e^x} -e^{-x}=t \\[/tex]
[tex]e^x+\frac{1}{e^{2x}}-\frac{1}{e^x} = t[/tex]
[tex]e^{3x}+1-e^x=e^{2x}t[/tex]
[tex]e^{3x}-te^{2x}-e^x=-1[/tex]
Let u = e^x
[tex]u^3-tu^2-u=-1[/tex]
[tex]u(u^2-tu-1) = -1[/tex]
if u=1, then [tex]u^2-tu-1 =-1 \longleftrightarrow u^2-tu=0[/tex]
then u = 0 (reject) or u = t
So far, we have u = 1 and u = t
if u =1, e^x =1 , then x = 0
if u = t, then e^x = t or x = lnt
Brainliest? Answer ASAP plz Which of the following values are in the range of the function graphed below? Check all that apply.
Answer: D.6
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The on;y possible value for y is Y=6, so the answer is D
Answer:
6
Step-by-step explanation:
The range is the output values, or in this case the y values
The only y value is 6
The range is 6
yo pleaseee help me w these!! marking brainiest!!!
What’s the square root of 500
Answer:
22.360679775
Step-by-step explanation:
i used a calulator on the web
Answer:
±10 sqrt(5)
Step-by-step explanation:
sqrt(500)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100*5)
sqrt(100) sqrt(5)
±10 * sqrt(5)
State the solution
5x-y=14 and x+3y=-10
Answer:
x = 2, y = - 4
Step-by-step explanation
5x-y=14
x+3y= - 10
x = - 10 - 3y
5(- 10 - 3y) - y = 14
- 50 - 15y - y = 14
-16y = 64
y = - 4
x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2
x = 2
Y=0.8x+72
20x+32y=43
Answer:
1: Y=0.8x+72 = x=1.25y−90
2: 20x+32y=43 = x= -8/5y + 43/20
First question steps:
Solved for x
Step 1: Flip the equation.
Step 2: Add -72 to both sides.
Step 3: Divide both sides by 0.8.
Second question steps:
Step 1: Add -32y to both sides.
Step 2: Divide both sides by 20.
Answer:
1: Y=0.8x+72 = x=1.25y−90
2: 20x+32y=43 = x= -8/5y + 43/20
Please mark me brainliest
Hope this helps.
Find the greatest common factor of 26 and 14.
Answer:
2
Step-by-step explanation:
A factor is a number that can evenly divide into another number.
Let’s list all the factors of both numbers.
26: 1, 2, 13, 26
14: 1,2, 7, 14
Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.
Therefore, the GCF of 26 and 14 is 2.
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC
Answer:
-3, -3
Step-by-step explanation:
The coordinates of point B on line AC is (6/7, -30/7).
Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.
What is the section formula?The section formula is P(x, y)[tex]=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )[/tex].
Now, AB= 3/4 AC⇒AB:AC=3:4
P(x,y)[tex]=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )[/tex]
=(6/7, -30/7)
Therefore, the coordinates of point B on line AC is (6/7, -30/7).
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Find the speed of a car on km/hr that is moving
at speed 144mls
Answer:
Speed in km/hr = 518.4 km/hr
Step-by-step explanation:
Speed = 144 m/s
To convert m/s to km/her, you just need to multiply it by 3.6
Speed in km/hr = 144 × 3.6
Speed in km/hr = 518.4 km/hr
Answer:
518.40km/h
Step-by-step explanation:
144m/s
it means that in 1 sec it does 144m
we are searching how many km it does in 1 hour
1 hour = 60*60=3600 sec
so in 3600 sec (= 1 hour) it does 144*3600 m
and 1 km = 1 000m
so in 1 hour it does 144*3600/1000 = 144*3.6 = 518.40
the speed of the car is 518.40km/hr
hope this helps
CAn someone please help
no. of squares=90
no. of toothpicks=(89*3)+4
=271
rule of patern = 4+3+3...
no. of toothpicks=1000
no. of squares= (996÷3)+1
= 333
Please help me with this and explain
Answer:
4.104
Step-by-step explanation:
Volume of any prism = Area of cross section x height.
so, volume = 0.6 x 1.9 x 3.6 = 4.104
a graph using y=mx+b
Answer:
A graph using y=mx+b would include a positive or negative line (slope) and a y-intercept. If there is a y-intercept between 1 & infinity then the line will not start on the origin. y=mx+b doesnt have to include a y-intercept though. It can include a y-intecept of 0. This would mean that the line would start on the origin. y=mx+b will ALWAYS be a straight line.
Step-by-step explanation:
Hope this helps :)
es urgente ¡¡¡ si la MH de a y 4 es 6 y la MH de 8 y b es 12 calcula la MH de a y b
Answer:
Sabemos que:
[tex]MH(x, y) = \frac{2xy}{x+y}[/tex]
y tenemos que:
[tex]MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6[/tex]
Con esto podemos encontrar el valor de a:
8*a/(a+ 4) = 6
8*a = 6*(a + 4) = 6*a + 24
8a - 6a = 24
2a = 24
a = 24/2 = 12.
Tambien sabemos que:
[tex]MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12[/tex]
Y de ahí podemos despejar b:
(16*b)/(b + 8) = 12
16*b = 12*(b + 8) = 12b + 96
16b - 12b = 96
4b = 96
b = 96/4 = 24
Entonces tenemos a = 12 y b = 24, y el MH de a y b es:
MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16
a plane flies 1640 miles in 4 hours. what is the average speed of the plane?
Answer:
Speed = 410 miles/hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 1640 miles, Time = 4 hours
Speed = 1640/4
Speed = 410 miles/hour
Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.
Answer:
The logo has an area of 5.7 cm².
Step-by-step explanation:
The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.
[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]
[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]
The total area of the figura is:
[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]
The logo has an area of 5.7 cm².
solve for x.
12x - 8 = 8x - 20
Answer:
x= -3
Step-by-step explanation:
12x-8x = -20+8
4x = -12
x= -12/4
x = -3
Steps:
Step 1: Subtract 8x from both sides.
12x−8−8x=8x−20−8x
4x−8=−20
Step 2: Add 8 to both sides.
4x−8+8=−20+8
4x=−12
Step 3: Divide both sides by 4.
4x/4 = −12/4
Answer: x=−3
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Hope this helps.
A mother duck lines her 5 ducklings up behind her. In how many ways can the ducklings line up?
Answer
Answer:
120
Step-by-step explanation:
There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.
5+(8×5)+72÷8 !? what is the answer please
Answer:
54 is the answer
Step-by-step explanation:
5+(8x5)+72/8
5+40+9
54
Which of the following represents a function?
Answer: C, a set of coords is only a function if it passes the vertical line test
Step-by-step explanation:
This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test
B easily fails the test just by visually looking at it. It fails the line test
C has different x values so this looks promising. It passes the line test
D has the number 5 correlating with multiple y values. It fails the line test
Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c
Answer:
3, 4, 81
Step-by-step explanation:
plz thank
The value of a is 3, value of b is 4 and value of c is 81.
To understand more, check below explanation.
Exponential identity:The exponential identity is,
[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]
We have to solve, [tex]\frac{3^{8} }{3^{4} }[/tex]
[tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]
Hence, the value of a is 3, value of b is 4 and value of c is 81.
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Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
help..................
Answer:
D
Step-by-step explanation:
Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D